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Finding the Third Proportional to 266,014.13 and 402,168.94

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Solution

The third proportional to 266,014.13 and 402,168.94 is: 608,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,014.13 : 402,168.94 = 402,168.94 : x
  2. Step 2: Convert to fraction form
    266,014.13/402,168.94 = 402,168.94/x
  3. Step 3: Cross multiply
    266,014.13x = 402,168.94 × 402,168.94
  4. Step 4: Simplify right side
    266,014.13x = 161,739,854,289.88
  5. Step 5: Solve for x
    x = 161,739,854,289.88/266,014.13
  6. Step 6: Final answer
    x = 608,012.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.